According t their own website citichotelbeijing they do run the free shuttle round the clock. Email them to confirm. They display a timetable for the shuttle in the lobby. The minibus stops right outside the entrance door and you need to be on time. They didn't hang around waiting for people. They run in 30 mins or 1 hour intervals, depending on the time of the day. Some airlines use the hotel for their crews and so the airport transport is essential. It is a very short drive to the airport, be sure to get off in front of the terminal you will use. The front desk staff speak excellent English, do not hesitate to approach them with any questions. If you need to change money they have a Bank Currency Exchange in the lobby. I loved it - select the currency you wish to change into Yuan, then slowly feed your paper notes in through the slot. The machine will show you how much you'll get for it and a gives an option to stop the exchange at this point or to continue with changing more banknotes. If you want to exchange in a brick-and-mortar bank, walk out of the hotel and turn left. Turn left again after about 50meters and there is your bank which also has an ATM. Next to it is a rather simple, cheap but very good Chinese restaurant. Just opposite the hotel is a Subway outlet of you wish for other than Asian food. The suburb is rather nice, green and clean with coffee shops, supermarket and other small specialty shops. Just turn left when you exit the hotel and follow the street.

I was at Beijing airport in September 2017 and no departure tax was payable. This tax should already be included in your ticket price. If you want to double check, contact the agent who sold you your ticket - just in case American agents follow different rules of ticketing.

Less than 100 dollar.

The CITIC hotel runs a shuttle bus from the airport quite regularly. Otherwise it is a short ride by taxi. If you are taking a taxi, you will need the address in Chinese clearly printed out.